338039352000 has 896 divisors, whose sum is σ = 1426464000000. Its totient is φ = 76772966400.

The previous prime is 338039351999. The next prime is 338039352019. The reversal of 338039352000 is 253930833.

It is a super-2 number, since 2×338039352000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 270647376 + ... + 270648624.

Almost surely, 2^338039352000 is an apocalyptic number.

338039352000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338039352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713232000000).

338039352000 is an abundant number, since it is smaller than the sum of its proper divisors (1088424648000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338039352000 is a wasteful number, since it uses less digits than its factorization.

338039352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 338039352000 in words is "three hundred thirty-eight billion, thirty-nine million, three hundred fifty-two thousand".